N-ary hyperstructures associated to the genotypes of F2-offspring

Tahan, M. Al; Davvaz, Bijan

doi:10.1142/s1793524517501182

Cited by 6 publications

(4 citation statements)

References 7 publications

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“…They made some hypothetical crosses for the n-hybrid case for both simple and incomplete inheritances and studied their relations with hyperstructures. In [9], the authors considered n-ary hyperstructures associated to the genotypes of the second generation F 2 for n = 2, 3, 4. They defined a hyperoperation × (mating) on F 2 and proved that it is a cyclic H v -semigroup under the defined hyperoperation.…”

Section: Applications Of Hyperstructures In Biology Physics and Chemmentioning

confidence: 99%

A brief survey on algebraic hyperstructures: Theory and applications

Davvaz

2020

JAHLA

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I am working on algebraic hyperstructures from 1995. During the last twenty years, I together with my students and co-authors studied and developed the theory of algebraic hyperstructures in many directions. In particular, we tried to find real examples of hyperstructures in nature. In this paper we review some parts of these works such as (1) Fundamental relations on hyperstructures; (2) Fuzzy sets and hyperstructures; (3) Rough sets and hyperstructures; (4) Topology and hyperstructures; (5) Number theory and hyperstructures; (6) n-ary hypergroups and there extension to hyperrings and hypermodules; (7) Applications of hyperstructures in biology, physics and chemistry.

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Section: Applications Of Hyperstructures In Biology Physics and Chemmentioning

confidence: 99%

A brief survey on algebraic hyperstructures: Theory and applications

Davvaz

2020

JAHLA

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“…Studies related to hyperstructures in chemical reactions encompass dismutation reactions (Davvaz et al, 2012), redox reactions (Davvaz, Dehghan Nezhad, et al, 2014), redox reactions with three oxidation numbers (S. C. Chung et al, 2014), four oxidation numbers (Al-Jinani et al, 2019;Al-Tahan and Davvaz, 2022), and examples of redox reactions with five oxidation states (Agusfrianto et al, n.d.). Additionally, hyperstructure types have been analyzed concerning reactions in electrochemical cells (M. A. Al- Tahan & Davvaz, 2018), ozone depletion reactions (Chung, 2019), ozone depletion reactions in the stratosphere (Chung and Chun, 2020), and salt formation reactions (Heidari et al, 2019).…”

Section: A Introductionmentioning

confidence: 99%

Hyperstructures in Chemical Hyperstructures of Redox Reactions with Three and Four Oxidation States

Agusfrianto,

Andromeda,

Hariri

2024

JTAM

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Hyperstructures find numerous applications across various disciplines. One notable application is in chemistry, particularly in the context of chemical reactions. In 2014, Davvaz introduced the concept of bi-hyperstructures, but their application specifically in chemical reactions, has yet to be thoroughly explored in previous studies. Thus, the primary aim of this paper is to examine and analyze the different types of bi-hyperstructures present within chemical hyperstructures. The scope of this study focuses on two types of chemical hyperstructures: redox reactions and reactions in electrochemical cells. Within these chemical hyperstructures, we investigate the possibility of bi-hyperstructures among bi-semihypergroups, bi-hypergroups, bi-H_v-semigroups, and bi-H_v-groups. Next, some properties of bi-hyperstructures related to hyperstructures are also investigate.

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“…In 2009, Davvaz et al [19] introduced a special class of hyperstructures called n-ary semihypergroups, which is a natural extension of semigroups, n-ary semigroups and semihypergroups. Such an n-ary hyperstructure and its generalization have been widely studied from the theoretical point of view and for application in many subjects of pure and applied mathematics-for example, applications in biology [20,21] and in chemistry [22][23][24]. In [25], Hila et al introduced the concept of j-hyperideals of n-ary semihypergroups, which is a generalization of j-ideals of n-ary semigroups, and discussed the related properties.…”

Section: Introductionmentioning

confidence: 99%

Regularities in Ordered n-Ary Semihypergroups

Daengsaen

Leeratanavalee

2021

Mathematics

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This paper deals with a class of hyperstructures called ordered n-ary semihypergroups which are studied by means of j-hyperideals for all positive integers 1≤j≤n and n≥3. We first introduce the notion of (softly) left regularity, (softly) right regularity, (softly) intra-regularity, complete regularity, generalized regularity of ordered n-ary semihypergroups and investigate their related properties. Several characterizations of them in terms of j-hyperideals are provided. Finally, the relationships between various classes of regularities in ordered n-ary semihypergroups are also established.

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N-ary hyperstructures associated to the genotypes of F2-offspring

Cited by 6 publications

References 7 publications

A brief survey on algebraic hyperstructures: Theory and applications

A brief survey on algebraic hyperstructures: Theory and applications

Hyperstructures in Chemical Hyperstructures of Redox Reactions with Three and Four Oxidation States

Regularities in Ordered n-Ary Semihypergroups

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